Three particles in an external trap: Nature of the complete J = 0 spectrum
Three particles in an external trap: Nature of the complete J = 0 spectrum
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DOI：
10.1103/physreva.66.013601
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发表时间：
2002-02
影响因子：
2.9
通讯作者：
D. Blume;C. Greene
中科院分区：
文献类型：
--
作者：
D. Blume;C. Greene
Three bosonic, spin-polarized atoms in a spherical oscillator potential constitutes the simplest nontrivial Bose-Einstein condensate (BEC). The present paper develops the tools needed to understand the nature of the complete J=0 energy spectrum for this prototype system assuming a sum of two-body potentials. The resulting spectrum is calculated as a function of the two-body scattering length a s c , which documents the evolution of certain many-body levels that evolve from BEC-type to molecular-type as the scattering length is decreased. Implications for the behavior of the condensate excited-state spectrum and for condensate formation and decay are elucidated. The energy levels evolve smoothly, even through the regime where the number of two-body bound states N b increases by 1, and a s c switches from - to + . We point out the possibility of suppressing three-body recombination by tuning the two-body scattering length to values that are larger than the size of the condensate ground state. Comparisons with mean-field treatments are presented.
